Answer
Solution: $(-4,\frac{1}{2})$
Work Step by Step
$2x+4y = -6$ Equation $(1)$
$x= 2y-5$ Equation $(2)$
Substituting $x$ from Equation $(2)$ in Equation $(1)$
$2x+4y = -6$
$2(2y-5)+4y=-6$
$4y-10+4y = -6$
$8y-10= -6$
$8y = -6+10$
$8y = 4$
$y= \frac{4}{8}$
$y= \frac{1}{2}$
Substituting $y$ value in Equation $(2)$ to get $x$
$x= 2y-5$
$= 2( \frac{1}{2})-5$
$ = 1-5$
$x = -4$
Solution: $(-4,\frac{1}{2})$
